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- Homoclinic_orbit abstract "In mathematics, a homoclinic orbit is a trajectory of a flow of a dynamical system which joins a saddle equilibrium point to itself. More precisely, a homoclinic orbit lies in the intersection of the stable manifold and the unstable manifold of an equilibrium.Consider the continuous dynamical system described by the ODESuppose there is an equilibrium at , then a solution is a homoclinic orbit ifIf the phase space has three or more dimensions, then it is important to consider the topology of the unstable manifold of the saddle point. The figures show two cases. First, when the unstable manifold is topologically a cylinder, and secondly, when the unstable manifold is topologically a Möbius strip; in this case the homoclinic orbit is called twisted.".
- Homoclinic_orbit thumbnail Homoclinic.svg?width=300.
- Homoclinic_orbit wikiPageExternalLink homoclinic.htm.
- Homoclinic_orbit wikiPageID "3948734".
- Homoclinic_orbit wikiPageRevisionID "584751043".
- Homoclinic_orbit hasPhotoCollection Homoclinic_orbit.
- Homoclinic_orbit subject Category:Dynamical_systems.
- Homoclinic_orbit type Abstraction100002137.
- Homoclinic_orbit type Attribute100024264.
- Homoclinic_orbit type DynamicalSystem106246361.
- Homoclinic_orbit type DynamicalSystems.
- Homoclinic_orbit type PhaseSpace100029114.
- Homoclinic_orbit type Space100028651.
- Homoclinic_orbit comment "In mathematics, a homoclinic orbit is a trajectory of a flow of a dynamical system which joins a saddle equilibrium point to itself.".
- Homoclinic_orbit label "Homoclinic orbit".
- Homoclinic_orbit label "Orbita omoclina".
- Homoclinic_orbit label "ホモクリニック軌道".
- Homoclinic_orbit sameAs Orbita_omoclina.
- Homoclinic_orbit sameAs ホモクリニック軌道.
- Homoclinic_orbit sameAs m.0b855y.
- Homoclinic_orbit sameAs Q690494.
- Homoclinic_orbit sameAs Q690494.
- Homoclinic_orbit sameAs Homoclinic_orbit.
- Homoclinic_orbit wasDerivedFrom Homoclinic_orbit?oldid=584751043.
- Homoclinic_orbit depiction Homoclinic.svg.
- Homoclinic_orbit isPrimaryTopicOf Homoclinic_orbit.
